An object falling from some point in the air (near the surface) with air friction, R = kv.(adsbygoogle = window.adsbygoogle || []).push({});

So,

[tex] m\frac{dv}{dt} = mg - kv[/tex]

Seperate variables for

[tex]\int \frac{m}{mg - kv} \cdot dv = \int dt[/tex]

and for the LHS I use integration by parts, so,

[tex](m)(mgv - \frac{1}{2}kv^2) - \int mgv - \frac{1}{2}kv^2 \cdot dv = t[/tex]

am on the right track here?

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# Homework Help: Vertical motion with air friction

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